Given two arbitrary constants, \(\alpha_1\) and \(\alpha_2\), and two arbitrary images \(f_1\left(x,y\right)\) and \(f_2\left(x,y\right)\), \(\varkappa\) is said to be a linear operator if:
Taken from: Gonzalez, Rafael C., y Richard E. Woods. Digital Image Processing. New York, NY: Pearson, 2018.
Basic Mathematic - Pixel intensity
Taken from: Gonzalez, Rafael C., y Richard E. Woods. Digital Image Processing. New York, NY: Pearson, 2018.
Neighborhood operations
Taken from: Gonzalez, Rafael C., y Richard E. Woods. Digital Image Processing. New York, NY: Pearson, 2018.
Neighborhood Operations
For example, suppose that the specified operation is to compute the average value of the pixels in a rectangular neighborhood of size mn × centered on \(\left(x,y\right)\). The coordinates of pixels in this region are the elements of set \(S_{xy}\).